section 3.1: the remainder and factor theorems 135... · the factor theorem the number c is a zero...

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Section 3.1: The Remainder and Factor Theorems Monday, October 13, 2014 5:04 PM Section 3.1 The Remainder and Factor Theorems Page 1

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Page 1: Section 3.1: The Remainder and Factor Theorems 135... · The Factor Theorem The number c is a zero of a polynomial, P(x), iff x-c is a factor of P(x). Section 3.1 The Remainder and

Section 3.1: The Remainder and Factor Theorems Monday, October 13, 20145:04 PM

Section 3.1 The Remainder and Factor Theorems Page 1

Page 2: Section 3.1: The Remainder and Factor Theorems 135... · The Factor Theorem The number c is a zero of a polynomial, P(x), iff x-c is a factor of P(x). Section 3.1 The Remainder and

The Remainder Theorem

If R is the remainder when P(x) is divided by x-c, then R=P(c).

Section 3.1 The Remainder and Factor Theorems Page 2

Page 3: Section 3.1: The Remainder and Factor Theorems 135... · The Factor Theorem The number c is a zero of a polynomial, P(x), iff x-c is a factor of P(x). Section 3.1 The Remainder and

The Factor Theorem

The number c is a zero of a polynomial, P(x), iff x-c is a factor of P(x).

Section 3.1 The Remainder and Factor Theorems Page 3

Page 4: Section 3.1: The Remainder and Factor Theorems 135... · The Factor Theorem The number c is a zero of a polynomial, P(x), iff x-c is a factor of P(x). Section 3.1 The Remainder and

Section 3.1 The Remainder and Factor Theorems Page 4

Page 5: Section 3.1: The Remainder and Factor Theorems 135... · The Factor Theorem The number c is a zero of a polynomial, P(x), iff x-c is a factor of P(x). Section 3.1 The Remainder and

Section 3.1 The Remainder and Factor Theorems Page 5